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Finding the Third Proportional to 68,934 and 106,396

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Solution

The third proportional to 68,934 and 106,396 is: 164,216.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,934 : 106,396 = 106,396 : x
  2. Step 2: Convert to fraction form
    68,934/106,396 = 106,396/x
  3. Step 3: Cross multiply
    68,934x = 106,396 × 106,396
  4. Step 4: Simplify right side
    68,934x = 11,320,108,816
  5. Step 5: Solve for x
    x = 11,320,108,816/68,934
  6. Step 6: Final answer
    x = 164,216.62

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.